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A CERTAIN NUMBER OF ZEROS OF f^nf^((k)) - a AND ITS NORMALITY

摘要


In this paper, we study functions of the form F = f^n f^((k))-a for integers k,n and non-zero constant a. First, if all the zeros of f have multiplicity at least k, then F has at least a certain number of zeros. As an expected consequence given the Bloch Principle, families of such functions which have less than this number of zeros are normal.

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